As in the usual HRG model [1]}, we apply the ideal gas description for mesons and calculate
the thermodynamic quantities as the sum of each mesonic contribution.
The description should be valid in dilute or low temperature regimes.
It is known that the HRG model with experimental hadron spectra reproduces the lattice data quite well,
up to the critical temperature, \(T_c\simeq 156.5\pm 1.5\)  MeV [2]}, where hadrons begin to overlap.
At finite \(B\) , such spectra are not available experimentally.
For this reason we use the hadron spectra computed in our quark model and then construct the HRG.
The results will be compared with the lattice results in Ref.[3]}.
